181 citations
- University of British ColumbiaCA4 papers
- University of California, BerkeleyUS4 papers
- Eindhoven University of TechnologyNL3 papers
- Hebrew University of JerusalemIL3 papers
- Charles UniversityCZ2 papers
- Courant Institute of Mathematical SciencesUS2 papers
- Microsoft Research (United Kingdom)GB2 papers
- University of California, Los AngelesUS2 papers
- University of Illinois Urbana-ChampaignUS2 papers
- Weizmann Institute of ScienceIL2 papers
- Australian National UniversityAU1 paper
- Board of the Swiss Federal Institutes of TechnologyCH1 paper
6 papers · 1 filter
Partition function zeros at first-order phase transitions: Pirogov-Sinai theory
Marek Biskup, Christian Borgs, Jennifer T. Chayes +1
This paper is a continuation of our previous analysis [BBCKK] of partition functions zeros in models with first-order phase transitions and periodic boundary conditions. Here it is…
An extended Hubbard model with ring exchange: a route to a non-Abelian topological phase
Michael Freedman, Chetan Nayak, Kirill Shtengel
We propose an extended Hubbard model on a 2D Kagome lattice with an additional ring-exchange term. The particles can be either bosons or spinless fermions . At a special filling fr…
Waiting for a bat to fly by (in polynomial time)
Itai Benjamini, Gady Kozma, Laszlo Lovasz +2
We observe returns of a simple random walk on a finite graph to a fixed node, and would like to infer properties of the graph, in particular properties of the spectrum of the trans…
Dimers, Tilings and Trees
Richard Kenyon, Scott Sheffield
Generalizing results of Temperley, Brooks, Smith, Stone and Tutte and others we describe a natural equivalence between three planar objects: weighted bipartite planar graphs; plana…
Partition function zeros at first-order phase transitions: A general analysis
Marek Biskup, Christian Borgs, Jennifer T. Chayes +2
We present a general, rigorous theory of partition function zeros for lattice spin models depending on one complex parameter. First, we formulate a set of natural assumptions which…
The Zero-Dispersion Limit for the Odd Flows in the Focusing Zakharov-Shabat Hierarchy
Nicholas M. Ercolani, Shan Jin, C. David Levermore +1
We present a numerical and theoretical study of the zero-dispersion limit of the focusing Zakharov-Shabat hierarchy, which includes NLS and mKdV flows as its second and third membe…